138304152000
138,304,152,000 is an even composite number composed of seven prime numbers multiplied together.
138304152000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138304152000:
26 × 33 × 53 × 7 × 23 × 41 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 23 × 41 × 97)See below for interesting mathematical facts about the number 138304152000 from the Numbermatics database.
Names of 138304152000
- Cardinal: 138304152000 can be written as One hundred thirty-eight billion, three hundred four million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38304152 × 1011
Factors of 138304152000
Divisors of 138304152000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 32 35 36 40 41 42 45 46 48 50 54 56 60 63 64 69 70 72 75 80 82 84 90 92 96 97 100 105 108 112 115 120 123 125 126 135 138 140 144 150 160 161 164 168 175 180 184 189 192 194 200 205 207 210 216 224 225 230 240 246 250 252 270 276 280 287 288 291 300 315 320 322 328 336 345 350 360 368 369 375 378 388 400 410 414 420 432 448 450 460 480 483 485 492 500 504 525 540 552 560 574 575 576 582 600 615 621 630 644 656 672 675 679 690 700 720 736 738 750 756 776 800 805 820 828 840 861 864 873 875 900 920 943 945 960 966 970 984 1000 1008 1025 1035 1050 1080 1104 1107 1120 1125 1148 1150 1164 1200 1230 1242 1260 1288 1312 1344 1350 1358 1380 1400 1435 1440 1449 1455 1472 1476 1500 1512 1552 1575 1600 1610 1640 1656 1680 1722 1725 1728 1746 1750 1800 1840 1845 1886 1890 1932 1940 1968 2000 2016 2037 2050 2070 2100 2160 2208 2214 2231 2240 2250 2296 2300 2328 2400 2415 2425 2460 2484 2520 2576 2583 2619 2624 2625 2700 2716 2760 2800 2829 2870 2875 2880 2898 2910 2952 3000 3024 3075 3104 3105 3150 3220 3280 3312 3360 3375 3395 3444 3450 3492 3500 3600 3680 3690 3772 3780 3864 3880 3936 3977 4000 4025 4032 4074 4100 4140 4200 4305 4320 4347 4365 4416 4428 4462 4500 4592 4600 4656 4715 4725 4800 4830 4850 4920 4968 5040 5125 5152 5166 5175 5238 5250 5400 5432 5520 5535 5600 5658 5740 5750 5796 5820 5904 6000 6048 6111 6150 6208 6210 6300 6440 6560 6601 6624 6693 6720 6750 6790 6888 6900 6984 7000 7175 7200 7245 7275 7360 7380 7544 7560 7728 7749 7760 7872 7875 7954 8000 8050 8148 8200 8280 8400 8487 8610 8625 8640 8694 8730 8856 8924 9000 9184 9200 9225 9312 9430 9450 9660 9700 9840 9936 10080 10185 10250 10304 10332 10350 10476 10500 10800 10864 11040 11070 11155 11200 11316 11480 11500 11592 11640 11808 11931 12000 12075 12096 12125 12222 12300 12420 12600 12880 12915 13095 13120 13202 13248 13386 13500 13580 13776 13800 13968 14000 14145 14350 14400 14490 14550 14760 15088 15120 15375 15456 15498 15520 15525 15617 15750 15908 16100 16296 16400 16560 16800 16974 16975 17220 17250 17388 17460 17712 17848 18000 18333 18368 18400 18450 18624 18860 18900 19320 19400 19680 19803 19872 19885 20079 20125 20160 20370 20500 20664 20700 20952 21000 21525 21600 21728 21735 21825 22080 22140 22310 22632 22960 23000 23184 23280 23575 23616 23625 23862 24000 24150 24250 24444 24600 24840 25200 25461 25760 25830 25875 26190 26404 26772 27000 27160 27552 27600 27675 27839 27936 28000 28290 28700 28980 29100 29520 30176 30240 30555 30750 30912 30996 31040 31050 31234 31500 31816 32200 32592 32800 33005 33120 33465 33600 33948 33950 34440 34500 34776 34920 35424 35696 35793 35875 36000 36225 36375 36666 36800 36900 37720 37800 38640 38745 38800 39360 39606 39744 39770 40158 40250 40740 41000 41328 41400 41904 42000 42435 43050 43200 43456 43470 43650 44280 44620 45264 45920 46000 46125 46368 46560 46851 47150 47250 47724 48300 48500 48888 49200 49680 50400 50922 50925 51520 51660 51750 52380 52808 53544 54000 54320 55104 55200 55350 55678 55775 55872 56000 56580 57400 57960 58200 59040 59409 59655 60237 60352 60375 60480 61110 61500 61992 62100 62468 63000 63632 64400 64575 65184 65475 65600 66010 66240 66930 67896 67900 68880 69000 69552 69840 70725 70848 71392 71586 71750 72000 72450 72750 73332 73800 75440 75600 77280 77490 77600 77625 78085 79212 79540 80316 80500 81480 82000 82656 82800 83517 83808 84000 84870 84875 86100 86940 87300 88560 89240 90528 91471 91665 91840 92000 92250 92736 93120 93702 94300 94500 95448 96600 97000 97776 98400 99015 99360 99425 100395 100800 101844 101850 103320 103500 104760 105616 107088 107379 107625 108000 108640 108675 109125 110400 110700 111356 111550 113160 114800 115920 116400 117875 118080 118818 119310 120474 120750 122220 123000 123984 124200 124936 126000 127264 127305 128800 129150 130368 130950 132020 133860 135792 135800 137760 138000 138375 139104 139195 139680 140553 141450 142784 143172 143500 144900 145500 146664 147600 150880 151200 152775 154560 154980 155200 155250 156170 158424 159080 160632 161000 162960 164000 165025 165312 165600 167034 167325 167616 168000 169740 169750 172200 173880 174600 177120 178227 178480 178965 181056 181125 182942 183330 184000 184500 187404 188600 189000 190896 193200 193725 194000 195552 196800 198030 198720 198850 200790 203688 203700 206640 207000 209520 211232 212175 214176 214758 215250 216000 217280 217350 218250 221400 222712 223100 226320 229600 231840 232800 234255 235750 237636 238620 240948 241500 244440 246000 247968 248400 249872 250551 252000 254528 254610 254625 257600 258300 261900 264040 267720 271584 271600 274413 275520 276000 276750 278208 278390 278875 279360 281106 282900 286344 287000 289800 291000 293328 295200 297045 298275 301185 301760 302400 305550 309960 310500 312340 316848 318160 321264 322000 322875 325920 327375 328000 330050 331200 334068 334650 339480 339500 344400 347760 349200 353625 354240 356454 356960 357930 362250 365884 366660 369000 374808 377200 378000 381792 386400 387450 388000 390425 391104 396060 397700 401580 407376 407400 413280 414000 417585 419040 421659 422464 424350 428352 429516 430500 434700 436500 442800 445424 446200 452640 457355 458325 459200 463680 465600 468510 471500 475272 477240 481896 483000 488880 492000 495075 495936 496800 497125 499744 501102 501975 504000 509220 509250 516600 523800 528080 535440 536895 543168 543200 543375 548826 552000 553500 556780 557750 562212 565800 572688 574000 579600 582000 586656 590400 594090 596550 602370 611100 619920 621000 624680 633696 636320 636525 640297 642528 644000 645750 651840 654750 660100 668136 669300 678960 679000 688800 695520 695975 698400 702765 707250 712908 713920 715860 724500 731768 733320 738000 749616 751653 754400 756000 763584 763875 772800 774900 776000 780850 792120 795400 803160 814752 814800 823239 825125 826560 828000 835170 836625 838080 843318 848700 859032 861000 869400 873000 885600 890848 891135 892400 894825 905280 914710 916650 937020 943000 950544 954480 963792 966000 968625 977760 984000 990150 993600 994250 999488 1002204 1003950 1018440 1018500 1033200 1047600 1056160 1060875 1070880 1073790 1086400 1086750 1097652 1107000 1113560 1115500 1124424 1131600 1145376 1148000 1159200 1164000 1171275 1173312 1188180 1193100 1204740 1222200 1239840 1242000 1249360 1252755 1267392 1272640 1273050 1280594 1285056 1288000 1291500 1309500 1320200 1336272 1338600 1357920 1358000 1372065 1377600 1391040 1391950 1396800 1405530 1414500 1425816 1431720 1449000 1463536 1466640 1476000 1485225 1491375 1499232 1503306 1505925 1508800 1512000 1527750 1549800 1561700 1584240 1590800 1606320 1629504 1629600 1646478 1650250 1656000 1670340 1673250 1686636 1697400 1718064 1722000 1738800 1746000 1771200 1781696 1782270 1784800 1789650 1829420 1833300 1874040 1886000 1901088 1908960 1920891 1927584 1932000 1937250 1952125 1955520 1980300 1988500 2004408 2007900 2036880 2037000 2066400 2087925 2095200 2108295 2112320 2121750 2141760 2147580 2173500 2195304 2214000 2227120 2231000 2248848 2263200 2286775 2290752 2291625 2296000 2318400 2328000 2342550 2376360 2386200 2409480 2444400 2469717 2475375 2479680 2484000 2498720 2505510 2509875 2546100 2561188 2583000 2619000 2640400 2672544 2677200 2684475 2715840 2716000 2744130 2783900 2811060 2829000 2851632 2863440 2898000 2927072 2933280 2952000 2970450 2982750 2998464 3006612 3011850 3055500 3099600 3123400 3168480 3181600 3182625 3201485 3212640 3259200 3292956 3300500 3340680 3346500 3373272 3394800 3436128 3444000 3477600 3479875 3492000 3513825 3564540 3569600 3579300 3658840 3666600 3748080 3758265 3772000 3802176 3817920 3841782 3855168 3864000 3874500 3904250 3960600 3977000 4008816 4015800 4073760 4074000 4116195 4132800 4175850 4190400 4216590 4243500 4295160 4347000 4390608 4428000 4454240 4455675 4462000 4474125 4497696 4526400 4573550 4583250 4685100 4752720 4772400 4818960 4888800 4939434 4950750 4968000 4997440 5011020 5019750 5092200 5122376 5166000 5238000 5280800 5345088 5354400 5368950 5432000 5488260 5567800 5622120 5658000 5703264 5726880 5762673 5796000 5854144 5856375 5866560 5940900 5965500 6013224 6023700 6111000 6199200 6246800 6263775 6336960 6363200 6365250 6402970 6425280 6585912 6601000 6681360 6693000 6746544 6789600 6860325 6872256 6888000 6955200 6959750 6984000 7027650 7129080 7158600 7317680 7333200 7426125 7496160 7516530 7529625 7544000 7683564 7749000 7808500 7921200 7954000 8017632 8031600 8147520 8148000 8232390 8351700 8433180 8487000 8590320 8694000 8781216 8856000 8908480 8911350 8924000 8948250 8995392 9147100 9166500 9370200 9505440 9544800 9604455 9637920 9777600 9878868 9901500 10022040 10039500 10184400 10244752 10332000 10439625 10476000 10541475 10561600 10708800 10737900 10976520 11135600 11244240 11316000 11406528 11433875 11453760 11525346 11592000 11712750 11881800 11931000 12026448 12047400 12222000 12348585 12398400 12493600 12527550 12730500 12805940 13171824 13202000 13362720 13386000 13422375 13493088 13579200 13720650 13919500 14055300 14258160 14317200 14635360 14666400 14852250 14992320 15033060 15059250 15367128 15498000 15617000 15842400 15908000 16007425 16035264 16063200 16296000 16464780 16703400 16866360 16974000 17180640 17288019 17388000 17562432 17569125 17822700 17848000 17896500 18294200 18333000 18740400 18791325 19010880 19089600 19208910 19275840 19757736 19803000 20044080 20079000 20368800 20489504 20580975 20664000 20879250 20952000 21082950 21475800 21953040 22271200 22278375 22488480 22632000 22867750 23050692 23425500 23763600 23862000 24052896 24094800 24444000 24697170 24987200 25055100 25461000 25611880 26343648 26404000 26725440 26772000 26844750 26986176 27441300 27839000 28110600 28516320 28634400 28813365 29270720 29332800 29704500 30066120 30118500 30734256 30996000 31234000 31318875 31684800 31816000 32014850 32126400 32929560 33406800 33732720 33948000 34301625 34361280 34576038 34776000 35138250 35645400 35793000 36588400 36666000 37480800 37582650 38417820 39515472 39606000 40088160 40158000 40737600 40979008 41161950 41758500 42165900 42951600 43906080 44542400 44556750 44976960 45735500 46101384 46851000 47527200 47724000 48022275 48105792 48189600 48888000 49394340 50110200 50922000 51223760 52687296 52707375 52808000 53544000 53689500 54882600 55678000 56221200 57032640 57268800 57626730 59409000 60132240 60237000 61468512 61742925 61992000 62468000 62637750 64029700 65859120 66813600 67465440 67896000 68603250 69152076 70276500 71290800 71586000 73176800 73332000 74961600 75165300 76835640 79030944 79212000 80037125 80176320 80316000 82323900 83517000 84331800 85903200 86440095 87812160 89113500 91471000 92202768 93702000 93956625 95054400 95448000 96044550 96379200 98788680 100220400 101844000 102447520 102904875 105414750 107379000 109765200 111356000 112442400 115253460 118818000 120264480 120474000 122937024 123485850 124936000 125275500 128059400 131718240 133627200 134930880 137206500 138304152 140553000 142581600 143172000 144066825 146353600 146664000 150330600 153671280 158061888 158424000 160074250 160632000 164647800 167034000 168663600 171806400 172880190 178227000 182942000 184405536 187404000 187913250 192089100 197577360 200440800 203688000 204895040 205809750 210829500 214758000 219530400 222712000 224884800 230506920 237636000 240111375 240528960 240948000 246971700 250551000 256118800 263436480 274413000 276608304 281106000 285163200 286344000 288133650 300661200 307342560 308714625 320148500 329295600 334068000 337327200 345760380 356454000 365884000 368811072 374808000 375826500 384178200 395154720 400881600 411619500 421659000 429516000 432200475 439060800 461013840 475272000 480222750 481896000 493943400 501102000 512237600 548826000 553216608 562212000 576267300 601322400 614685120 617429250 640297000 658591200 668136000 674654400 691520760 712908000 720334125 731768000 751653000 768356400 790309440 823239000 843318000 859032000 864400950 922027680 960445500 987886800 1002204000 1024475200 1097652000 1106433216 1124424000 1152534600 1202644800 1234858500 1280594000 1317182400 1383041520 1425816000 1440668250 1503306000 1536712800 1646478000 1686636000 1728801900 1844055360 1920891000 1975773600 2004408000 2161002375 2195304000 2305069200 2469717000 2561188000 2766083040 2881336500 3006612000 3073425600 3292956000 3373272000 3457603800 3841782000 3951547200 4322004750 4610138400 4939434000 5122376000 5532166080 5762673000 6013224000 6585912000 6915207600 7683564000 8644009500 9220276800 9878868000 11525346000 13830415200 15367128000 17288019000 19757736000 23050692000 27660830400 34576038000 46101384000 69152076000 138304152000
- Sum of all divisors σ(n): 626274754560
- Sum of proper divisors (its aliquot sum) s(n): 487970602560
- 138304152000 is an abundant number, because the sum of its proper divisors (487970602560) is greater than itself. Its abundance is 349666450560
Bases of 138304152000
- Binary: 100000001100111001000111100001110000002
- Hexadecimal: 0x203391E1C0
- Base-36: 1RJAPYO0
Squares and roots of 138304152000
- 138304152000 squared (1383041520002) is 19128038460439104000000
- 138304152000 cubed (1383041520003) is 2645487138694415826359808000000000
-
The
square root of 138304152000 is 371892.6619335207 -
The
cube root of 138304152000 is 5171.4429662627
Scales and comparisons
How big is 138304152000?- 138,304,152,000 seconds is equal to 4,397 years, 33 weeks, 3 days, 12 hours.
-
To count from 1 to 138,304,152,000 would take you about eight thousand, seven hundred ninety-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138304152000 cubic inches would be around 431 feet tall.
Recreational maths with 138304152000
- 138304152000 backwards is 000251403831
- 138304152000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138304152000's digits is 27
- More coming soon!
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Numbermatics. (2024). Number 138304152000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138304152000/
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The information we have on file for 138304152000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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